OP Malhotra Notes on Circle Class-9 S.Chand ICSE Maths 2026-27. We Provide Step by Step Notes on Chord, Arc, Segment, Sector and Chord Properties with Chapter Test of S Chand OP Malhotra Maths. Visit official Website CISCE for detail information about ICSE Board Class-9.
OP Malhotra Notes on Circle Class-9 S.Chand ICSE Maths 2026-27
Circle
A circle is a locus of a point which moves in such way that its distance from a fixed point is always constant. The fixed point is called the centre of the circle.
The line segment joining any two points on a circle is called a chord of a circle.
Chord of Properties
- A straight line drawn from the centre of a circle to bisect a chord which is not a diameter is at right angles to chord.
- Perpendicular drawn to a chord from the centre of a circle bisects the chord.
- Equal chords of a circle are equidistant from centre.
- Chords which are equidistant from the centre are equal in lengths.
- There is one and only circle which passes though three given points not in a straight line.
- The perpendicular bisector of a chord of a circle always passes through its centre
- Perpendicular bisectors of two chords of a circle intersect at its centre
Practice Questions on Chord Properties :- Exercise-13(a)
Arc Definition
An arc is a part of the circumference of a circle.
An arc less than one-half of the whole arc of a circle is called a minor arc of the circle, and an arc greater than one-half of the whole arc of a circle is called a major arc of a circle.
Segment Definition
A chord of a circle divides it into two parts. Each part is called segment.
The part containing the minor arc is called the minor segment, and the part containing the major arc is called the major segment.
Sector Definition
The region bounded by an arc and two radii, joining the centre to the end points of an arc, is called a sector
Practice Questions on Angles and Proving :- Exercise-13(b)
In this chapter, we study all the topics on Circle like Chord, Arc, Segment, Sector and Chord Properties and do some practice questions also. Here we solve extra practice questions on this chapter for better understanding.
For extra practice questions on Circle :- Chapter Test
— : End of Circle OP Malhotra S Chand ICSE Class-9 Notes :–
Return to :– OP Malhotra S Chand Solutions for ICSE Class-9 Maths
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